Review on the operator/Feynman diagram/<i>dessins d’enfants</i>-Reference-Cited by-同舟云学术

Review on the operator/Feynman diagram/dessins d’enfants

Published:2022-01-20 Issue:03 Volume:37 Page:
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

Itoyama H.¹²³,Mironov A.⁴⁵⁶,Morozov A.⁵⁶⁷,Yoshioka R.³^ORCID

Affiliation:

1. Nambu Yoichiro Institute of Theoretical and Experimental Physics (NITEP), Osaka City University, 3-3-138 Sugimoto, Sumiyoshi-ku, Osaka 558-8585, Japan

2. Department of Mathematics and Physics, Graduate School of Science, Osaka City University, 3-3-138 Sugimoto, Sumiyoshi-ku, Osaka 558-8585, Japan

3. Osaka City University Advanced Mathematical Institute (OCAMI), 3-3-138 Sugimoto, Sumiyoshi-ku, Osaka 558-8585, Japan

4. I.E. Tamm Theory Department, Lebedev Physics Institute, Leninsky Prospect, 53, Moscow 119991, Russia

5. A.I. Alikhanov Institute for Theoretical and Experimental Physics, NRC “Kurchatov Institute”, Bol’shaya Cheremushkinskaya, 25, Moscow 117259, Russia

6. Institute for Information Transmission Problems of RAS (Kharkevich Institute), Bolshoy Karetny per. 19, Build. 1, Moscow 127051 Russia

7. Moscow Institute of Physics and Technology, Dolgoprudny 141701, Russia

Abstract

In this paper, a short review of the operator/Feynman diagram/dessin d’enfants correspondence in the rank 3 tensor model is presented, and the cut and join operation is given in the language of dessin d’enfants as a straightforward development. We classify operators of the rank 3 tensor model up to level 5 with dessin d’enfants. (Based on the talk given by R. Y. at the international workshop “Randomness, Integrability and Representation Theory in Quantum Field Theory” at the Osaka City University Media Center on March 25, 2021.)

Funder

Japan Society for the Promotion of Science

OCAMI MEXT

RFBR

Publisher

World Scientific Pub Co Pte Ltd

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X21300192

Reference25 articles.

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2. THREE-DIMENSIONAL SIMPLICIAL QUANTUM GRAVITY AND GENERALIZED MATRIX MODELS

3. TENSOR MODEL FOR GRAVITY AND ORIENTABILITY OF MANIFOLD

4. Tensor models and simplicial quantum gravity in >2-D

5. Rainbow tensor model with enhanced symmetry and extreme melonic dominance

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